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2406144725 = 52175661517
BaseRepresentation
bin1000111101101010…
…1101101011010101
320012200120211001022
42033122231223111
514411433112400
61034432010525
7113424615125
oct21732555325
96180524038
102406144725
11102522a166
12571990a45
132c465a79a
1418b7bcc85
15e138bb85
hex8f6adad5

2406144725 has 12 divisors (see below), whose sum is σ = 3159127044. Its totient is φ = 1811685120.

The previous prime is 2406144709. The next prime is 2406144731. The reversal of 2406144725 is 5274416042.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5340721 + 2400804004 = 2311^2 + 48998^2 .

It is not a de Polignac number, because 2406144725 - 24 = 2406144709 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2830334 + ... + 2831183.

It is an arithmetic number, because the mean of its divisors is an integer number (263260587).

Almost surely, 22406144725 is an apocalyptic number.

2406144725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2406144725 is a deficient number, since it is larger than the sum of its proper divisors (752982319).

2406144725 is a wasteful number, since it uses less digits than its factorization.

2406144725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5661544 (or 5661539 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 2406144725 is about 49052.4691019728. The cubic root of 2406144725 is about 1340.0075601044.

It can be divided in two parts, 24061 and 44725, that added together give a palindrome (68786).

The spelling of 2406144725 in words is "two billion, four hundred six million, one hundred forty-four thousand, seven hundred twenty-five".

Divisors: 1 5 17 25 85 425 5661517 28307585 96245789 141537925 481228945 2406144725